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Heat Engine Efficiency: Work magnitude Calculator

Heat Engine Efficiency: Calculate work magnitude from Thermal efficiency fraction, Transferred heat magnitude. Check the formula, input units and worked result on this page.

Enter your values

Formula symbol: η. Enter a numeric value. Must be greater than zero. Allowed range: 1E-30–1.
J
Formula symbol: Q. Required unit: J. Must be greater than zero.

Use a decimal point, without thousands separators.

This model uses positive magnitudes. Work and heat input refer to the same cycle. Efficiency is a 0–1 fraction, not percent; these values do not validate a Carnot bound or a real machine.
Example result
Work magnitude
56.25 J

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

Use heat engine efficiency with the units stated beside the fields. This form solves for work magnitude; enter the known quantities in Thermal efficiency fraction, Transferred heat magnitude.

Inputs and units
Heat Engine Efficiency: Work magnitude Calculator · Inputs and units
InputExample valueWhat to enter
Thermal efficiency fraction0.1875Formula symbol: η. Enter a numeric value. Must be greater than zero. Allowed range: 1E-30–1.
Transferred heat magnitude300 JFormula symbol: Q. Required unit: J. Must be greater than zero.
W = (η / (1 × (Q)^(-1)))

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Thermal efficiency fraction
0.1875
Transferred heat magnitude
300 J

Complete example results

Work magnitude
56.25 J

Reading the result

The result solves for work magnitude from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the work magnitude result?

This model uses positive magnitudes. Work and heat input refer to the same cycle. Efficiency is a 0–1 fraction, not percent; these values do not validate a Carnot bound or a real machine.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: openstax.org

Methods & accuracy

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